Simple mistakes are easily corrected by writing to the reporting company, pointing out the error, and providing proof of the mistake. You can also request to have your own comments added to explain problems. For example, if you made a payment late due to illness, explain that for the record. Lenders are usually understanding about legitimate problems.
Narrowing your search for the perfect home can be a little easier if you start with a few neighborhoods and work your way out. Keep in mind access to shopping, schools and your more travelled routes.